The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups
The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups
In this paper, using the Milnor-type theorem technique, we provide on each nilpotent five dimensional Lie group, some global existence result of a pair (g, c) consisting of a left-invariant Riemannian metric g and a positive constant c such that Ric(g) =cT, where Ric(g) is the Ricci curvature of g and T a given left-invariant symmetric (0, 2)-tensor field.
Romain Pefoukeu Nimpa、Marius Landry Foka、Thomas Bouetou Bouetou、Michel Bertrand Ngaha Djiadeu、Salomon Joseph Mbatakou
数学
Romain Pefoukeu Nimpa,Marius Landry Foka,Thomas Bouetou Bouetou,Michel Bertrand Ngaha Djiadeu,Salomon Joseph Mbatakou.The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups[EB/OL].(2024-03-13)[2025-08-10].https://arxiv.org/abs/2403.08402.点此复制
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